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Finding the Fourth Proportional to 331,406.10, 497,109.15 and 154,259.10

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Solution

The fourth proportional to 331,406.10, 497,109.15 and 154,259.10 is: 231,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,406.10 : 497,109.15 = 154,259.10 : x
  2. Step 2: Convert to fraction form
    331,406.10/497,109.15 = 154,259.10/x
  3. Step 3: Cross multiply
    331,406.10x = 497,109.15 × 154,259.10
  4. Step 4: Simplify right side
    331,406.10x = 76,683,610,080.77
  5. Step 5: Solve for x
    x = 76,683,610,080.77/331,406.10
  6. Step 6: Final answer
    x = 231,388.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.